Correlation functions evolution for the Glauber dynamics in continuum

Abstract

We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach space is shown. Additionally we prove the existence of the evolution of states and study their ergodic properties.

References in corpus (1)

• Spatial birth and death processes as solutions of stochastic equations

Cited by in corpus (3)

• Glauber dynamics in the continuum via generating functionals evolution
• Functional evolutions for homogeneous stationary death-immigration spatial dynamics
• Vlasov scaling for the Glauber dynamics in continuum